In a bowl, combine flour, baking soda and salt. In a separate bowl, using an electric mixer, beat sugar, butter and oil until smooth. Add eggs and vanilla; beat until combined. Add flour mixture to egg mixture in 5 batches. Stir in cherries and chocolate.

Divide dough in half; form into two logs, 2 inches by 8 inches; wrap in plastic wrap and freeze, 1 hour.